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Finding the Fourth Proportional to 197,724, 272,859.12 and 112,839.24

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Solution

The fourth proportional to 197,724, 272,859.12 and 112,839.24 is: 155,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,724 : 272,859.12 = 112,839.24 : x
  2. Step 2: Convert to fraction form
    197,724/272,859.12 = 112,839.24/x
  3. Step 3: Cross multiply
    197,724x = 272,859.12 × 112,839.24
  4. Step 4: Simplify right side
    197,724x = 30,789,215,727.87
  5. Step 5: Solve for x
    x = 30,789,215,727.87/197,724
  6. Step 6: Final answer
    x = 155,718.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.